112033130013000 has 768 divisors, whose sum is σ = 456098789952000. Its totient is φ = 24230327040000.

The previous prime is 112033130012927. The next prime is 112033130013037. The reversal of 112033130013000 is 310031330211.

It is a happy number.

112033130013000 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 331 + 30 + 0 + 1 + 300 + 0 = 666.

It is a super-2 number, since 2×112033130013000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 992256550 + ... + 992369450.

It is an arithmetic number, because the mean of its divisors is an integer number (593878632750).

Almost surely, 2^{112033130013000} is an apocalyptic number.

112033130013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112033130013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228049394976000).

112033130013000 is an abundant number, since it is smaller than the sum of its proper divisors (344065659939000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112033130013000 is a wasteful number, since it uses less digits than its factorization.

112033130013000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113783 (or 113766 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 112033130013000 its reverse (310031330211), we get a palindrome (112343161343211).

The spelling of 112033130013000 in words is "one hundred twelve trillion, thirty-three billion, one hundred thirty million, thirteen thousand".